The clock is no more noisy than my other Graham escapement clocks. It makes a "sturdy" tick-tock, but nothing excessive.
Ideally, you want the escape wheel to have a low moment of inertia (minimize the weight * distance from wheel center) because the escapement stops every time it hits the pallet and then has to be re-started by the force (torque) from the going train. The higher the inertia of the escape wheel the greater the torque required from the going train.
The escape wheel in my original design was made from 1/4" ply with a wider rim. To get the clock to run with a reasonable weight I had to change the escape wheel to 1/8" ply and make the rim as thin as practical. Originally, I designed the clock to run for 36 hours for a single wind. However, I had to increase the diameter of the winding wheel to keep the weight sensible and the final design runs for 24 hours.